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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 
 

 

Mean curvature flow of Killing graphs


Authors: J. H. Lira and G. A. Wanderley
Journal: Trans. Amer. Math. Soc. 367 (2015), 4703-4726
MSC (2010): Primary 53C42, 53C44
DOI: https://doi.org/10.1090/S0002-9947-2015-06269-2
Published electronically: February 13, 2015
MathSciNet review: 3335398
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Abstract: We study a Neumann problem related to the evolution of graphs under mean curvature flow in Riemannian manifolds endowed with a Killing vector field. We prove that in a particular case these graphs converge to a trivial minimal graph which contacts the cylinder over the domain orthogonally along its boundary.


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Additional Information

J. H. Lira
Affiliation: Departamento de Matemática, Universidade Federal do Ceará, Campus do Pici - Bloco 914, Fortaleza, Ceará, Brasil 60455-900
Email: jorge.lira@mat.ufc.br

G. A. Wanderley
Affiliation: Departamento de Matemática, Universidade Federal da Paraíba, CCEN - Campus I, João Pessoa, Paraíba, Brasil 58051-900

DOI: https://doi.org/10.1090/S0002-9947-2015-06269-2
Received by editor(s): October 1, 2012
Received by editor(s) in revised form: March 9, 2013
Published electronically: February 13, 2015
Additional Notes: The first author was partially supported by CNPq and PRONEX/FUNCAP
The second author was partially supported by CAPES
Article copyright: © Copyright 2015 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

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